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Graphing Quadratic Equations From All Forms

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Graphing Quadratic Equations from All Forms

Introduction to Solutions of a Quadratic Equation using Tables, Graphs, and Factoring.

CCSS Covered by this activity

A.REI.4b Solve quadratic equations in one variable.

(b) Solve quadratic equations by inspection (e.g., for x

= 49), taking square roots, completing the square, the

quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic

formula gives complex solutions and write them as a ± bi for real numbers a and b.

F.IF.8a Write a function defined by an expression in different but equivalent forms to reveal and explain

different properties of the function.

(a) Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values,

and symmetry of the graph, and interpret these in terms of a context.

A.SSE.3a. Choose and produce an equivalent form of an expression to reveal and explain properties of the

quantity represented by the expression.

(a)Factor a quadratic expression to reveal the zeros of the function it defines.

Graphing Quadratic Equations From All Forms